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Finding the Third Proportional to 237,890 and 322,923

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Solution

The third proportional to 237,890 and 322,923 is: 438,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,890 : 322,923 = 322,923 : x
  2. Step 2: Convert to fraction form
    237,890/322,923 = 322,923/x
  3. Step 3: Cross multiply
    237,890x = 322,923 × 322,923
  4. Step 4: Simplify right side
    237,890x = 104,279,263,929
  5. Step 5: Solve for x
    x = 104,279,263,929/237,890
  6. Step 6: Final answer
    x = 438,350.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.